On the relation between non-commutative field theories at theta = infinity and large N matrix field theories

Details On the relation between non-commutative field theories at theta = infinity and large N matrix field theories On the relation between non-commutative field theories at theta = infinity and large N matrix field theories

2004-04-23

arxiv.org/abs/hep-th/0404179v1

JHEP 0405 (2004) 047

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX

Scientific paper

10.1088/1126-6708/2004/05/047

It is well-known that non-commutative (NC) field theories at theta = infinity are ``equivalent'' to large N matrix field theories to all orders in perturbation theory, due to the dominance of planar diagrams. By formulating a NC field theory on the lattice non-perturbatively and mapping it onto a twisted reduced model, we point out that the above equivalence does not hold if the translational symmetry of the NC field theory is broken spontaneously. As an example we discuss NC scalar field theory, where such a spontaneous symmetry breakdown has been confirmed by Monte Carlo simulations.

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